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Finding the Fourth Proportional to 7,709.82, 10,628.43 and 5,052.62

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Solution

The fourth proportional to 7,709.82, 10,628.43 and 5,052.62 is: 6,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.82 : 10,628.43 = 5,052.62 : x
  2. Step 2: Convert to fraction form
    7,709.82/10,628.43 = 5,052.62/x
  3. Step 3: Cross multiply
    7,709.82x = 10,628.43 × 5,052.62
  4. Step 4: Simplify right side
    7,709.82x = 53,701,417.99
  5. Step 5: Solve for x
    x = 53,701,417.99/7,709.82
  6. Step 6: Final answer
    x = 6,965.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.